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77julia77 [94]
3 years ago
14

What is 1 1/3 x 2/3 in the simplest form?

Mathematics
2 answers:
wlad13 [49]3 years ago
6 0

Answer:8/9

Step-by-step explanation:4/3 * 2/3=8/9

77julia77 [94]3 years ago
3 0

Answer:

the answer is 8/6

Step-by-step explanation:

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Assume that the population of human body temperatures has a mean of 98.6 degrees F and a standard deviation of 0.62 degrees F. I
dimulka [17.4K]

Answer:

0% probability of getting a mean temperature of 98.2 degrees F or lower.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 98.6, \sigma = 0.62, n = 106, s = \frac{0.62}{\sqrt{106}} = 0.06

Find the probability of getting a mean temperature of 98.2 degrees F or lower.

This is the pvalue of Z when X = 98.2. So

Z = \frac{X - \mu}{s}

Z = \frac{98.2 - 98.6}{0.06}

Z = -6.67

Z = -6.67 has a pvalue of 0.

So there is a 0% probability of getting a mean temperature of 98.2 degrees F or lower.

8 0
2 years ago
Find the value of this expresion if x=3 and y=-1
Strike441 [17]
What’s the expression?
8 0
3 years ago
HELP ME ASAP NOW PLEASE!
Aleksandr [31]
1760
13+25+10/150=.32
.32x5500=1760
8 0
3 years ago
Genevieve wants to verify that One-fifth (5 x minus 20) minus one-half (4 x minus 8) is equivalent to Negative x. Which procedur
lora16 [44]

Answer:

The given expression is equivalent to -x

That is \frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)=-x

Now Verified that the two expressions are equivalent

Step-by-step explanation:

Given that Genevieve wants to verify that One-fifth (5 x minus 20) minus one-half (4 x minus 8) is equivalent to Negative x

It can be written as below :

\frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)=-x

Now we can verify the expression is equivalent or not :

Taking  LHS

\frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)

=\frac{5x}{5}+\frac{-20}{5}-\frac{4x}{2}+\frac{8}{2} ( by using the distributive property )

=x-4-2x+4

=-x+0  ( adding the like terms )

=-x=RHS

Therefore LHS=RHS

Therefore the given expression is equivalent to -x

That is \frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)=-x

Now Verified that the two expressions are equivalent

6 0
3 years ago
Read 2 more answers
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. A
Montano1993 [528]

Answer: (14.4, 17.2)

Step-by-step explanation: We are to construct a 98% confidence interval for mean household usage of electricity.

We have been given that

Sample size (n) = 872

Sample mean (x) = 15.8

Population standard deviation (σ) = 1.8

The formulae that defines the 98% confidence interval for mean is given below as

u = x + Zα/2 × σ/√n...... For the upper limit

u = x - Zα/2 × σ/√n...... For the lower limit

Zα/2 = critical value for a 2% level of significance in a two tailed test = 2.33

By substituting the parameters we have that

For upper tailed

u = 15.8 + 2.33 × (1.8/√872)

u = 15.8 + 2.33 (0.6096)

u = 15.8 + 1.4203

u = 17.2

For lower tailed

u = 15.8 - 2.33 × (1.8/√872)

u = 15.8 - 2.33 (0.6096)

u = 15.8 - 1.4203

u = 14.4

Hence the 98% confidence interval for population mean usage of electricity is (14.4kwh, 17.2kwh)

4 0
3 years ago
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